Events

International Congresses and Workshops:

  • (joint work with Elif Kızıldere Mutlu) International Conference on Diophantine equations, Polynomials and Related Areas, New Delhi-INDIA, 26-30 November 2024 (invited speaker) https://sites.google.com/view/icdepra-2024/home?authuser=0
  • Workshop on Diophantine equations and algebraic equations,  Chambery, Le Bourget-du-Lac, FRANCE,  2-3 May 2023 (invited speaker) https://diophantlehmer.sciencesconf.org/?forward-action=index&forward-controller=index&lang=en
  • (joint work with Andrzej Dabrowski and Karolina Chalupka) On the solutions of a class of generalized Fermat equations signature (2,2n,3), Diophantine m-tuples and Related Problems-III, University of Zagreb, Zagreb-CROATIA, 14-16 September 2022 (invited speaker) https://www.grad.unizg.hr/dioph
  • (joint work with Elif Kızıldere Mutlu and Maohua Le) The elementary and modular approaches to the generalized Ramanujan-Nagell equation, Number Theory Conference 2022, In Honour of Kalman Györy, Janos Pintz and Andras Sarközy, Debrecen-HUNGARY, 4-8 July 2022, https://ntc2020.math.unideb.hu
  • Diophantine Problems, Determinism and Randomness, Marseille Luminy-FRANCE, 23-27 November 2020 (participant) https://www.cirm-math.com/2256virtual 
  • (joint work with Elif Kızıldere, Qing Han and Pingzhi Yuan) The shuffle variant of a Diophantine equation of Miyazaki and Togbe, The third Romanian-Turkish Mathematics Colloquium, Constanta-ROMANIA, 18-22 September 2019 (invited speaker) https://math.univ-ovidius.ro/Workshop/2019/RTMC/#/
  • (joint work with Elif Kızıldere and Maohua Le) A note on the ternary purely exponential Diophantine equation Ax+By=Czwith A+B=C2, Friendly workshop on Diophantine equations and related problems 2019, Bursa-TURKEY, 6-8 July 2019 http://fwderp2019.uludag.edu.tr
  • (joint work with Elif Kızıldere, Qing Han and Pingzhi Yuan) The shuffle variant of a Diophantine equation of Miyazaki and Togbe, Friendly workshop on Diophantine equations and related problems 2019, Bursa-TURKEY, 6-8 July 2019 http://fwderp2019.uludag.edu.tr
  • (joint work with Gamze Savaş Çelik and Mohammad Sadek) Rational sequences on different models of elliptic curves, 31 st Journées Arithmétiques, İstanbul University, İstanbul-TURKEY, 1-5 July 2019 http://math.gsu.edu.tr/ja2019/
  • (joint work with Elif Kızıldere, Hairong Bai and Pingzhi Yuan) The generalization of  two Diophantine equations of Nagell,31 st Journées Arithmétiques, İstanbul University, İstanbul-TURKEY, 1-5 July 2019 http://math.gsu.edu.tr/ja2019/
  • (joint work with Elif Kızıldere and Takafumi Miyazaki) On the exponential Diophantine equation ((b+1)m^2+1)^x+(bm^2-1)^y=(cm)^z, Conference on Diophantine m-tuples and Related Problems-II, Purdue University, Northwest, Wesville, Indiana, Michigan City-USA, 15-17 October 2018 https://www.pnw.edu/faculty/alain-togbe/research7/conference-on-diophantine-m-tuples-and-related-problems-ii/
  • (joint work with Elif Kızıldere) On the exponential Diophantine equation (5pm^2-1)^x+(p(p-5)m^2+1)^y=(pm)^z, Conference on Diophantine m-tuples and Related Problems-II, Purdue University, Northwest, Wesville, Indiana, Michigan City-USA, 15-17 October 2018 https://www.pnw.edu/faculty/alain-togbe/research7/conference-on-diophantine-m-tuples-and-related-problems-ii/
  • (joint work with Gamze Savaş Çelik) Elliptic curves containing sequences of consecutive cubes, 2 nd International Conference on Pure and Applied Mathematics, Van Yüzüncü Yıl University, Van-TURKEY, 11-13 September 2018.
  • (joint work with Gamze Savaş Çelik) Elliptic curves containing sequences of consecutive cubes, International Workshop on Elliptic Curves, Modular Forms and Langlands Functoriality, Bilecik Şeyh Edebali University, Bilecik-TURKEY, 11-12 May 2018.
  • (joint work with Attila Bérczes, István Pink and Gamıze Savaş) On the solutions of a Diophantine equation with power sums, The Second Romanian-Turkish Mathematics Colloquium, Galatasaray University, İstanbul-TURKEY, 25-29 October 2017.
  • (joint work with Attila Bérczes, István Pink and Gamze Savaş) On the solutions of a Diophantine equation with power sums, 30 th Journées Arithmétiques, University of Caen, Normandy, Caen-FRANCE, 3-7 July 2017.
  • On the Diophantine equation (x+1)^k+(x+2)^k+...+(lx)^k=y^n, 29 th Journées Arithmétiques, University of Debrecen, Debrecen-HUNGARY, 6-10 July 2015.
  • (joint work with Huilin Zhu and Maohua Le) On the solutions of the Diophantine equation x^2+2^a.p^b=y^4, 13 th Conference of the Canadian Number Theory Association, Ottawa-CANADA, 16-20 June 2014.
  • (joint work with Huilin Zhu and Maohua Le) On the solutions of the Diophantine equation x^2+2^a.p^b=y^4, Introductory Workhop on Modular Methods in Diophantine Equations, Bilecik-TURKEY, 8-11 September 2014. (Invited talk)
  • (joint work with Huilin Zhu and Maohua Le) On the solutions of some generalized Lebesgue-Nagell equations, International Congress in Honour of H.M. Srivastava, Bursa-TURKEY, 23-26 Aug. 2012.
  • (joint work with Huilin Zhu and Maohua Le) On the solutions of some generalized Lebesgue-Nagell equations, 9th Polish, Slovak and Czech Conference on Number Theory, Ostravice-CZECH REPUBLIC , June-12, 2012.
  • (joint work with Musa Demirci and Ismail Naci Cangül) On the solutions of some specific exponential Diophantine equations, ICM 2010 International Congress of Mathematicians, Hyderabad-INDIA , August 19-27 2010. (Invited Talk-Short Communication)
  • (joint work with Musa Demirci, Birsen Özgür and Ismail Naci Cangül) Congruence subgroups of modular group and Hecke groups, The 23 th International Conference of the Jangjeon Mathematical Society, Ahvaz-IRAN, Feb 8-10 2010.
  • (joint work with Musa Demirci and Ismail Naci Cangül) On some recent results concerning exponential Diophantine equations, The 22 nd International Conference of Jangjeon Math. Soc., Kartnaka-INDIA, 13-15.08.2009.
  • (joint work with Ismail Naci Cangül and Yilmaz Simsek) A p-adic look at the Diophantine equation x^2+11^2k=y^n, 7 th International Conference on Numerical Analysis and Applied Mathematics 2009 , Rethymno, Crete-GREECE, 18–22 September 2009.
  • (joint work with Musa Demirci and Ismail Naci Cangül) On the Diophantine equation x^2+2^a3^b11^c=y^n, Antalya Algebra Days XI, Antalya-TURKEY, May 20-24 2009.
  • (joint work with Ismail Naci Cangül, Musa Demirci and Nazli Yildiz İkikardeş) On a Diophantine equation, Antalya Algebra Days XI, Antalya-TURKEY, May 20-24 2009.
  • (joint work with Ismail Naci Cangül and Musa Demirci) The Diophantine equation x^2+11^m=y^n, The 20 th International Conference of the Jangjeon Mathematical Society, Bursa-TURKEY, August 21-23 2008.
  • (joint work with Ismail Naci Cangül, Musa Demirci and Nazli Yildiz İkikardeş) Two special elliptic curves classes International Symposium on Complex Analysis, Sibiu-ROMANIA, August 26-29 2007.
  • (joint work with Ismail Naci Cangül, Musa Demirci and Nazli Yildiz İkikardeş) On the additive structure of the set of quadratic residues modulo p, ICM 2006 International Congress of Mathematicians, Madrid-SPAIN, August 22-30 2006. (Poster Session)
  • (joint work with Ismail Naci Cangül, Musa Demirci and Nazli Yildiz İkikardeş) Rational points on elliptic curves y^2 = x^3 + a^3 in F_p , 16th International Conference of the Jangjeon Mathematical Society, Antalya-TURKEY, July 04-06 2005.
  • (joint work with Ismail Naci Cangül, Musa Demirci and Nazli Yildiz İkikardeş) Rational points on elliptic curves y^2 = x^3 + a^3 where p is prime, Antalya Algebra Days VII, Antalya-TURKEY, May 18-22 2005.

        Seminars:

  • On the solutions of some generalized Lebesgue-Ramanujan-Nagell equations, Department of Mathematics, Savoie Mont Blanc University, (Inviting Prof. Dr. Jean Louis Verger Gaugry), Chambery-FRANCE, (04 May 2023) https://www.lama.univ-savoie.fr/index.php?use=seminaires&&lang=en&equipe=logique&lang=en
  • Some recent results on the Diophantine equations with power sums, University of Brasilia, Department of Mathematics, (Inviting Prof. Dr. Hemar Godinho),  Brasilia-BRASIL, (15.09.2021), webinar.
  • Some recent results on the Diophantine equations with power sums, Theoretical Statistics & Mathematics Unit, Indian Statistical Institute, Delhi Centre, (Inviting: Prof. Dr. Shanta Laishram), New Delhi-INDIA, (24.02.2021), webinar.
  • A new result on Jesmanowicz' conjecture, Technical University of Liberec, Department of Mathematics and Didactics of Mathematics, (Inviting: Prof. Dr. Daniela Bitternova) Liberec-CZECH REPUBLIC, (07.10.2019),
  • On the solutions of a Diophantine equation with power sums, University of Rome Tor Vergata, Department of Mathematics, (Inviting: Prof. Dr. Rene Schoof) Rome-ITALY, (13.10.2017).
  • Diophantine equations with Bernoulli polynomials, Institute of Mathematics, University of Debrecen, (Inviting: Prof. Dr. Kálmán Győry) Debrecen HUNGARY, (29.05.2015),.
  • Diophantine equations with Bernoulli polynomials, Faculty of Science, Department of Mathematics, University of Zagreb, (Inviting: Prof. Dr. Andrej Dujella) Zagreb-CROTIA, (06.05.2015),
  • Diophantine equations with Bernoulli polynomials, Graz University of Technology, Institute of Analysis and Computational Number Theory, (Inviting: Prof. Dr. Robert Tichy), Graz-AUSTRIA, (07.05.2015).
  • Diophantine equations with Bernoulli polynomials, Institute of Mathematics, Polish Academy of Sciences (Inviting: Prof. Dr. Andrzej Schinzel), Warsaw-POLAND, (15.05.2015).
  • (joint work with Ismail Naci Cangül, Musa Demirci, Ákos Pintér) On Exponential Diophantine Equations, Forschung Seminar, Wintersemester 2008/2009, Institut für Experimentelle Mathematik Universität   Duisburg – Essen (Einlader : Prof. Dr. Dr. h.c. Gerhard Frey), Essen-GERMANY,  (27.01.2009).

          National Congresses:

  • (joint work with Elif Kızıldere Mutlu) Bazı Lebesgue-Ramanujan-Nagell Tipi Denklemler Üzerine, 15. Ankara Matematik Günleri, Ankara Hacı Bayram Veli Üniversitesi, 23-24 Mayıs 2024 Ankara.
  • (joint work with Elif Esenoğlu and Dilek Pirim) TSPO Genine P-sel Yaklaşım, 15. Ankara Matematik Günleri, Ankara Hacı Bayram Veli Üniversitesi, 23-24 Mayıs 2024 Ankara.
  • (joint work with Andrzej Dabrowski and Karolina Chalupka) (2,2n,3) tipindeki Genelleştirilmiş Fermat Denklemlerinin Bir Sınıfının Çözümleri, 34. Ulusal Matematik Sempozyumu, Dokuz Eylül Üniversitesi, İzmir, 31 Ağustos-3 Eylül 2022.
  • (joint work with Elif Kızıldere Mutlu and Maohua Le) Genelleştirilmiş Ramanujan-Nagell Denklemini Modüler Yaklaşımla Çözmek, 34. Ulusal Matematik Sempozyumu, Dokuz Eylül Üniversitesi, İzmir, 31 Ağustos-3 Eylül 2022.
  • (joint work with Gamze Savaş Çelik) Ardışık Küp Dizilerini İçeren Eliptik Eğriler, 13 üncü Ankara Matematik Günleri, TOBB ETÜ,  27-28 Nisan 2018.
  • (joint work with Elif Kızıldere and Takafumi Miyazaki) ((b+1)m^2+1)^x+(bm^2-1)^y=(cm)^z Üstel Diophant Denklemi, 13 üncü Ankara Matematik Günleri, TOBB ETÜ, 27-28 Nisan 2018.
  • (joint work with Attila Berczes, Istvan Pink and Gamze Savaş) Kuvvet Toplamları Tipinde Bir Diophant Denklemin Çözümleri Üzerine, 12 nci Ankara Matematik Günleri, Hacettepe Üniversitesi, 25-26 Mayıs 2017.
  • (joint work with Huilin Zhu and Maohua Le) Bazı Genelleştirilmiş Lebesgue-Nagell denklemleri üzerine, 7 nci Ankara Matematik Günleri, Bilkent Üniversitesi, 31 Mayıs-1 Haziran 2012.
  • (joint work with Nazli Yildiz İkikardeş, Musa Demirci and Ismail Naci Cangül) p asal iken F_p sonlu cisimlerindeki y^2 = x^3 – n^2.x Frey eliptik eğrilerinin sınıflandırılması ve grup yapıları, , XIX. National Mathematics Symposium, Kütahya, 22-25-08.2006.
  • (joint work with Musa Demirci, Nazli Yildiz İkikardeş and Ismail Naci Cangül) F_p sonlu cisimlerindeki p=3 (mod 4) asal iken y^2 = x^3 – n^2.x Frey eliptik eğrilerinin bazı özellikleri ve eğrilerin üzerindeki rasyonel noktalar, XIX. National Mathematics Symposium, Kütahya, 22-25-08.2006.
  • (joint work with Nazli Yildiz İkikardeş, Musa Demirci and Ismail Naci Cangül) p = 5 (mod 6) asal olmak üzere F p de y^2 = x^3 + a^3  tipindeki eliptik eğriler üzerindeki rasyonel noktalar, XVIII. National Mathematics Symposium, İstanbul, 05-08-09.2005.
  • (joint work with Musa Demirci, Nazli Yildiz İkikardeş and Ismail Naci Cangül) p = 1 (mod 6) asal olmak üzere F p de y^2 = x^3 + a^3  tipindeki eliptik eğriler üzerindeki rasyonel noktalar, XVIII. National Mathematics Symposium,  İstanbul, 05-08-09.2005.
  • (joint work with Musa Demirci, Nazli Yildiz İkikardeş and Ismail Naci Cangül) p = 1 (mod 6) asal iken F p deki y^2=x^3 + a^3 Bachet  eliptik eğrilerinin sınıflandırılması, XVIII. National Mathematics Symposium, İstanbul, 05-08-09.2005.
  • (joint work with Musa Demirci, Nazli Yildiz İkikardeş and Ismail Naci Cangül) Sonlu cisimler üzerindeki Bachet eliptik eğrileri üzerindeki rasyonel noktalar, XVIII. National Mathematics Symposium, İstanbul, 05-08-09.2005.

Congresses/Workshops Organized